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Submission #159140

# Submission time Handle Problem Language Result Execution time Memory
159140 2019-10-21T08:12:28 Z nafis_shifat Split the sequence (APIO14_sequence) C++11
0 / 100
 2000 ms 17040 KB 
#include<bits/stdc++.h>
#define pii pair<int,int>
#define ll long long
using namespace std;
const ll inf=1e15;



int main()
{
	int n,k;
	cin>>n>>k;
	ll dp[n+10][k+10]={};
	

	
	ll a[n+5]={};
	ll cum1[n+5]={};
	ll cum2[n+5]={};
	for(int i=1;i<=n;i++)
	{
		cin>>a[i];
		cum1[i]=cum1[i-1]+a[i];
	}
	for(int i=n;i>0;i--)cum2[i]=cum2[i+1]+a[i];
	for(int i=0;i<=n;i++)for(int j=0;j<=k;j++)dp[i][j]=0;

	
	for(int i=0;i<=n;i++)
	{
	    dp[i][0]=0;
	    dp[i][1]=cum1[i]*cum2[i+1];
	   
	}
	
	
	for(int i=1;i<n;i++)
	{
		for(int j=2;j<=k && j<=i;j++)
		{
			int r=i-1;
			int l=j-1;
			int p=0;
			
			if(l==r)
			{
			    dp[i][j]=dp[i-1][j-1]+(cum1[i]-cum1[i-1])*cum2[i+1];
			   
			   
			    continue;
			}
			while(r>=l)
			{
			    int mid1 = l+(r-l)/3;
                int mid2 = r-(r-l)/3;
                if(dp[mid1][j-1]+(cum1[i]-cum1[mid1])*cum2[i+1]>dp[mid2][j-1]+(cum1[i]-cum1[mid2])*cum2[i+1])
                {
                     r=mid2-1;
                     p=mid1;
                }
                else
                {
                    p=mid2;
                    l=mid1+1;
                }
			}
			//cout<<i<<" "<<j<<endl;
			
			
			dp[i][j]=dp[p][j-1]+(cum1[i]-cum1[p])*cum2[i+1];
		
		
		}
	}
	ll mx=0,st;
	for(int i=1;i<=n;i++)
	{
	    if(dp[i][k]>mx)
	    {
	        mx=dp[i][k];
	        st=i;
	    }
	}

	
	cout<<mx<<endl;
	int cur=mx;
	cout<<st<<" ";
	int d=1;
	while(k>1)
	{
	    for(int i=st-1;i>0;i--)
	    {
	        if(dp[i][k-1]+(cum1[st]-cum1[i])*cum2[st+1]==cur)
	        {
	            cur=dp[i][k-1];
	            cout<<i<<" ";
	            st=i;
	          
	            k--;
	            
	        }
	    }
	    
	}


	
	//for(int i=1;i<=10;i++)cout<<dp[i][3]+(cum1[11]-cum1[i])*cum2[12]<<" "<<dp[i][3]<<endl;

	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:89:6: warning: unused variable 'd' [-Wunused-variable]
  int d=1;
      ^

Subtask #1
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Incorrect 2 ms 256 KB Integer 5212286 violates the range [1, 1]
4 Halted 0 ms 0 KB -

Subtask #2
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 256 KB contestant found the optimal answer: 302460000 == 302460000
3 Execution timed out 2053 ms 376 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Execution timed out 2056 ms 632 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Execution timed out 2053 ms 2060 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 1528 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 8 ms 1528 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2051 ms 17040 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #6
0 / 29.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2055 ms 12796 KB Time limit exceeded
2 Halted 0 ms 0 KB -